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Finding the Fourth Proportional to 10,129.45, 13,978.61 and 5,653.15

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Solution

The fourth proportional to 10,129.45, 13,978.61 and 5,653.15 is: 7,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.45 : 13,978.61 = 5,653.15 : x
  2. Step 2: Convert to fraction form
    10,129.45/13,978.61 = 5,653.15/x
  3. Step 3: Cross multiply
    10,129.45x = 13,978.61 × 5,653.15
  4. Step 4: Simplify right side
    10,129.45x = 79,023,080.96
  5. Step 5: Solve for x
    x = 79,023,080.96/10,129.45
  6. Step 6: Final answer
    x = 7,801.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.